If you're a fan of Final Fantasy and/or rhythm games, Theatrhythm is awesome.
If you like KH, then definitely get Kingdom Hearts 3D.
Also get Kid Icarus: Uprising, New Super Mario Bros. 2, Shinobi, and other games that have been recommended so far.
Also Fire Emblem: Awakening comes out the 4th next week, and Luigi's Mansion: Dark Moon March 24, look forward to those as well. And yeah, as was said above, check out the demos on the eshop, and look into the eshop games/virtual console as well. --- Them ain't your funyuns, them's Foxxy's funyuns.
1) Play it's predecessor, 9 Hours 9 Persons 9 Doors, first; it's essential to the story of VLR. It's a DS game, but due to it's artstyle it hasn't aged at all.
2) Do not save in the PEC room, it can wipe your save file. To be safe, don't save in puzzle rooms at all, only main warehouses. --- Baseless prediction as of 01/04/13 : the next Xbox will be called the Xbox On.
The save corruption issue was the main reason why I decided to get the PSVita version of Zero Escape instead. I know almost all of you won't have the luxury of choosing between either version, but the 3DS version still works great, from what I hear. --- http://i41.tinypic.com/2yxi5h5.gif